Log Test A (Multiple Choice)

Identify the key features of the graph of the logarithm y = log(x - 1) + 7.

• Domain: x > 1, Range: All real numbers, Vertical Asymptote: x = 1

• Domain: x > 0, Range: All real numbers, Vertical Asymptote: x = 0

• Domain: x > 1, Range: y > 7, Vertical Asymptote: x = 1

• Domain: x > 0, Range: y > 7, Vertical Asymptote: x = 0

Write the expression as a single logarithm: 4log x - 6log(x + 2).

Use your preferred method to evaluate: log₃ 91.

• 4.1

• 3.5

• 2.5

• 1.5

Use your preferred method to evaluate: log₇ 40.

• 1.9

• 2.9

• 0.9

• 3.9

Solve the exponential equation: 4⁹ˣ = 4².

• 2

• 9